Geodesic
On the Cauchy problem for hyperbolic functional-differential equations
Adrian Karpowicz1 ; Henryk Leszczyński1
1 Institute of Mathematics University of Gdańsk 80-952 Gdańsk, Poland
Annales Polonici Mathematici, Tome 115 (2015) no. 1, pp. 53-74.

Voir la notice de l'article provenant de la source Institute of Mathematics Polish Academy of Sciences

We consider the Cauchy problem for a nonlocal wave equation in one dimension. We study the existence of solutions by means of bicharacteristics. The existence and uniqueness is obtained in $W^{1,\infty }_{\rm loc}$ topology. The existence theorem is proved in a subset generated by certain continuity conditions for the derivatives.
DOI : 10.4064/ap115-1-5
Keywords: consider cauchy problem nonlocal wave equation dimension study existence solutions means bicharacteristics existence uniqueness obtained infty loc topology existence theorem proved subset generated certain continuity conditions derivatives

Adrian Karpowicz 1 ; Henryk Leszczyński 1

1 Institute of Mathematics University of Gdańsk 80-952 Gdańsk, Poland 
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Adrian Karpowicz; Henryk Leszczyński. On the Cauchy problem for hyperbolic functional-differential equations. Annales Polonici Mathematici, Tome 115 (2015) no. 1, pp. 53-74. doi : 10.4064/ap115-1-5. http://geodesic.mathdoc.fr/articles/10.4064/ap115-1-5/

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